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Finding the Fourth Proportional to 2,065.05, 2,850.08 and 1,319.51

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Solution

The fourth proportional to 2,065.05, 2,850.08 and 1,319.51 is: 1,821.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,065.05 : 2,850.08 = 1,319.51 : x
  2. Step 2: Convert to fraction form
    2,065.05/2,850.08 = 1,319.51/x
  3. Step 3: Cross multiply
    2,065.05x = 2,850.08 × 1,319.51
  4. Step 4: Simplify right side
    2,065.05x = 3,760,694.81
  5. Step 5: Solve for x
    x = 3,760,694.81/2,065.05
  6. Step 6: Final answer
    x = 1,821.12

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.